38058 has 8 divisors (see below), whose sum is σ = 76128. Its totient is φ = 12684.

The previous prime is 38053. The next prime is 38069. The reversal of 38058 is 85083.

It is a sphenic number, since it is the product of 3 distinct primes.

38058 is an admirable number.

It is a super-3 number, since 3×38058³ = 165370919073336, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (38053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3166 + ... + 3177.

It is an arithmetic number, because the mean of its divisors is an integer number (9516).

2³⁸⁰⁵⁸ is an apocalyptic number.

38058 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38064).

38058 is a wasteful number, since it uses less digits than its factorization.

38058 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6348.

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 38058 is about 195.0845970342. The cubic root of 38058 is about 33.6368501601.

The spelling of 38058 in words is "thirty-eight thousand, fifty-eight".